 | Isaac Newton Failor - 1906 - 431 σελίδες
...previous theorems. PROPOSITION VII. THEOREM 414 Two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. HYPOTHESIS. The & ABC and ADE have the /. A common. CONCLUSION. AABC... | |
 | Association of Teachers of Mathematics in the Middle States and Maryland - 1906 - 58 σελίδες
...prove propositions concerning concurrent lines.) *P16. Triangles that have an angle of one equal to an angle of the other, are to each other as the products of the sides containing those angles. *P18. In any obtuse triangle, the square of the side opposite the obtuse... | |
 | Edward Rutledge Robbins - 1907 - 428 σελίδες
...THEOREM. Two triangular pyramids (tetrahedrons) having a trihedral angle of one equal to a trihedral angle of the other are to each other as the products of the three edges including the equal trihedral angles. Given : Triangular pyramids S-ABC, S—PQR; having the trih.... | |
 | Webster Wells - 1908 - 336 σελίδες
...find the volume of the pyramid. PROP. XXII. THEOREM 464. Two tetraedrons having a triedral angle of one equal to a triedral angle of the other, are to each other as the products of the edges including the equal triedral angles. Given V and V' the volumes of tetraedrons O-ABC and OA'B'C',... | |
 | Webster Wells - 1908 - 329 σελίδες
...find the volume of the pyramid. PROP. XXII. THEOREM 464. Two tetraedrons having a triedral angle of a triedral angle of the other, are to each other as the the edges including the equal triedral angles. AA Given V and V' the volumes of tetraedrons 0-ABO and... | |
 | Eugene Randolph Smith - 1909 - 424 σελίδες
...opposite angle of the other, and conversely. (5) Areas of triangles having an angle of one equal to an angle of the other are to each other as the products of the including sides. B. PLANE GEOMETRY PROPOSITIONS THAT CAN BE USED IN SOLID GEOMETRY BECAUSE THE NATURE... | |
 | George Albert Wentworth, David Eugene Smith - 1910 - 287 σελίδες
...PROPOSITION VII. THEOREM 332. The areas of two triangles that have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. ADB Given the triangles ABC and ADE, with the common angle A. To... | |
 | 1911 - 192 σελίδες
...similar when their homologous sides are proportional. 5. Two triangles having an angle of one equal to an angle of the other are to each other as the products of the sides including the equal angles. 6. Define a segment of a circle; equivalent triangles. When are two... | |
 | Hugh T. Reed - 1911 - 330 σελίδες
...extreme and mean ratio. Theorem : The areas of two triangles which have an angle of one equal to the angle of the other are to each other as the products of the sides including those angles. Problem : Given a circle of unit diameter and the side of a regular inscribed... | |
 | 1911 - 1030 σελίδες
...line. GROUP II. 4. Prove that two tetrahedrons having a trihedral angle of one equal to a trihedral angle of the other, are to each other as the products of the edges including the equal trihedral angles. 5. Prove that the volume of a triangular pyramid is equal... | |
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The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. 
